Answer:
Looking for four values or answers
(A) 5.05
(B) 13
(C) $254,140.33
(D) $254,145.38
Step-by-step explanation:
(A) The value of the margin of error.
Using a 90% confidence level or 0.10 alpha level,
1 - alpha = 1 - 0.10 = 0.90
The degrees of freedom = n - 1 = 14 - 1 = 13
Using the t table, 0.90 under 13 is 1.350
Sample size divided by √n is equal to
14/√14 = 3.742
1.35 × 3.742 = 5.05
(B) 13 degrees of freedom
(C) To find the lower and upper limits, you find the mean value first and then subtract / add to half of the margin of error which is 5.05÷2 = 2.525
Adding the 14 values together, you have $3,558,000
Dividing by 14 to get the mean;
Mean = $254,142.8571
Lower Limit: $254,140.33
Upper Limit: $254,145.38
Step-by-step explanation:
about circle R
arc angle MP = angle MRP = 78°
angle M = angle LMP.
according to the rules of inscribed angles, LMP is half of angle LRP.
LRP + MRP = 180° because together they cover the whole LM segment (half-circle).
LRP = 180 - MRP = 180 - 78 = 102°
so, LMP = angle M = 102/2 = 61°
also circle R (with arc ULNP)
the arc ULNP = arc UL + arc LN + arc NP = 160°
due to the congruent definition of JU and MP we know that arc UL = arc NP.
and we know arc LN = arc JM = 18°.
so,
160 = 2×arc NP + 18
142 = 2×arc NP
arc NP = 71° = arc UL
now, because arc MP + arc LP = 180 (half-circle),
arc MP = 180 - arc LP = 180 - arc LN - arc NP =
= 180 - 18 - 71 = 91°
about the circle R with 2 congruent chords :
the second answer : they are equidistant from R (the center of the circle).
about circle W
arc MK + arc KL = 180° (half-circle).
and we see
arc HL = arc KL = 53°.
so,
arc MK + 53 = 180°
arc MK = 180 - 53 = 127°
about circle M
arc QTS = 204°.
therefore, arc QRS = 360 - arc QTS = 360 - 204 =
= 156° = angle QMS.
according to the rules of inscribed angles
angle QTS = QMS/2 = 156/2 = 78°
It has 97 amounts.
43,44,45,46,47,48,49,50,
51,52,53,54,55,56,57,58,59,60
61,62,63,64,65,66,67,68,69,70 71,72,73,74,75,76,77,78,79,80
81,82,83,84,85,86,87,88,89,90
91,92,93,94,95,96,97,98,99,100
101,102,103,104,105,106,107,108,109,110
111,112,113,114,115,116,117,118,119,120
121,122,123,124,125,126,127,128,129,
130
131,132,133,134,135,136,137,138,139
Numbers between 42-140
